112301323200000 has 1440 divisors, whose sum is σ = 446555994524640. Its totient is φ = 26940211200000.

The previous prime is 112301323199957. The next prime is 112301323200071. The reversal of 112301323200000 is 2323103211.

112301323200000 is a `hidden beast` number, since 1 + 12 + 301 + 32 + 320 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×112301323200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15364796346 + ... + 15364803654.

It is an arithmetic number, because the mean of its divisors is an integer number (310108329531).

Almost surely, 2^{112301323200000} is an apocalyptic number.

112301323200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112301323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223277997262320).

112301323200000 is an abundant number, since it is smaller than the sum of its proper divisors (334254671324640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112301323200000 is an frugal number, since it uses more digits than its factorization.

112301323200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112301323200000 its reverse (2323103211), we get a palindrome (112303646303211).

The spelling of 112301323200000 in words is "one hundred twelve trillion, three hundred one billion, three hundred twenty-three million, two hundred thousand".